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Finding the Fourth Proportional to 367,155.30, 506,678.49 and 214,188.42

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Solution

The fourth proportional to 367,155.30, 506,678.49 and 214,188.42 is: 295,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,155.30 : 506,678.49 = 214,188.42 : x
  2. Step 2: Convert to fraction form
    367,155.30/506,678.49 = 214,188.42/x
  3. Step 3: Cross multiply
    367,155.30x = 506,678.49 × 214,188.42
  4. Step 4: Simplify right side
    367,155.30x = 108,524,665,221.09
  5. Step 5: Solve for x
    x = 108,524,665,221.09/367,155.30
  6. Step 6: Final answer
    x = 295,582.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.